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sashaice [31]
3 years ago
8

Why is it helpful to estimate the answer before adding or subtracting decimals?

Mathematics
1 answer:
slava [35]3 years ago
7 0
<span>Being able to estimate your answer is a very useful skill. ... When decimals are involved, it's very easy to put the decimal point in the wrong place, and ... round all numbers to the same place value—this makes adding or subtracting a bit easier.</span>
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Need help!! I can't figure this out
Sidana [21]

9514 1404 393

Answer:

  12. $1,035,057.23

  13. $988,881.23

  14. $7,762.93

  15. $8,686.16

  16. $967,647.66

Step-by-step explanation:

The annuity and amortization formulas are used for problems like this.

  sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)

  monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))

__

12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...

  A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23

__

13. The total of payments is ...

  $74×12×52 = $46,176

So, the interest earned is ...

  $1,035,057.23 -46,176 = $988,881.23

__

14. The amount available in perpetuity is the monthly interest on this account balance.

  $1,035,057.23 × .09/12 = $7,762.93

__

15. The monthly amount available for 25 years is found from the amortization formula:

  A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16

__

16. The amortization formula is used for this, too.

  8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P

  P = $8066/0.00833568 = $967,647.66

7 0
2 years ago
How do u do this.I need major help on it
Tpy6a [65]
Look for what 'y' is when t = 1 and t = 2. Go to the graph, look at 1 on the bottom axis and go up till you find the point, then go all the way to the left to see what the y-value is, in this case it should be 1200. If you do the same with t = 2, you will get 2400. So our two ordered pairs are:

(1, 1200), (2, 2400)

We can find the slope of these two points by plugging them into the slope formula:

\sf m=\dfrac{y_2-y_1}{x_2-x_1}

For points in the form of (x1, y1), (x2, y2). Plug in what we know:

\sf m=\dfrac{2400-1200}{2-1}

Subtract:

\sf m=\dfrac{1200}{1}

Divide:

\sf m=1200

This is the slope, so we can write the equation:

\boxed{\sf y=1200t}
4 0
3 years ago
Find the hypotenuse of a right triangle with legs measuring 4 and 5ft
tangare [24]
The hypotenuse would be square root of 41
6 0
4 years ago
Read 2 more answers
Tad has 14 times as many model cars as Johnny. Johnny has 6 model cars. Create a multiplication equation that represents the sit
zubka84 [21]
6 × 14 = 84 If Tad has 14 times as many cars as Johnny, and Johnny has 6 cars, Tad has 84 cars.
5 0
3 years ago
The corporate team-building event will cost $8 if it has 4 attendees. How many attendees can
sukhopar [10]
Answer: 22 attendees can attend the corporate team-building event, with a budget of $46.

1. 8 = 4x
2. 8/4 = 4x/4
3. x = 2, each ticket would cost $2 per attendee
4. $46/$2 = 23
8 0
4 years ago
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